Unified Constraint System and Self-Consistency Audit Framework for Six Unsolved Problems: A Structured Approach Based on Unified Time Scale \kappa(\omega) and Cosmic Parameter Vector \Theta

General relativity and quantum field theory are highly successful within their respective domains, yet exhibit systematic tensions in several key problems: microscopic origin of black hole entropy, naturalness of cosmological constant, neutrino mass and flavor mixing structure, universality of eigenstate thermalization hypothesis (ETH), strong CP problem, and boundaries of gravitational wave dispersion and Lorentz violation. Traditional treatments view them as six mutually independent ``unsolved